In this page, I post the notes and the material you need to know for each class (before and after the class!)
For each lecture, the textbook section corresponding to that lecture is also posted. For example: Limits: Section 1.1 & 1.2
Final review material:
For the part before the midterm refer to the review booklet and the questions of the midterm. Also, for the trig functions review refer to the sheet I gave in class, its link is also under week 9. The followings are the links to the notes and the questions I did in the final review session with solutions to the question I did in class.
Notes , Practice questions , Solutions1, Solutions2
Week 13: (Linear Approximation, second derivative)
- Dec 1: Lecture 25: Second derivative
- Nov 29: Lecture 24: Linear Approximation
Week 12: (Exponential growth/decay)
Examples on Exponential growth & decay: A simple example here (Example 0.10, page 32, try Activity 0.14 page 34), More examples (section 3.3.1, page 221: example 3.3.3. 3.3.5, 3.3.6), More exercises (Carbon dating, page 63, Population growth page 67, skip section 3.3.2 Newton’s law of cooling).
- Nov 24: Lecture 23: Exponential decay model.
- Nov 22: Lecture 22: Exponential growth model.
Week 11: (applied problems & Logarithms)
Practice on Ln derivative.
- Nov 17: Lecture 21: Derivative of Logarithmic and exponential functions.
- Nov 15: Lecture 20: Application of derivative in real life problems, Logarithm and Ln function. Worksheet on log practice. Solution to worksheet.
Week 10: (Chain rule)
Quiz 4 will contain 2-3 questions of this Practice Set. (exactly the same questions).
- Nov 10: Lecture 19: More examples on chain rule.
- Nov 8: Lecture 18: Chain rule.
Week 9: (Trig functions and their derivative)
- Nov 3: Lecture 17: Trig equations, trig derivative. Trig sheet + practice problems, Solution
- Nov 1: Lecture 16: Review of sin, cos & tan with unit circle
Week 8: (Derivative of exponential function, product/quotient rule)
- Oct 27: Lecture 15: Product & Quotient rules. In-class worksheet.
- Oct 25: Lecture 14: More example of exponential functions, Derivative of e^x.
Week 7: (More on differentiation, Exponentials)
- Oct 21: Review Session, Notes, Sample questions
- Oct 20: Lecture 13: Differentiability, Exponential functions.
- Oct 18: Lecture 12: Tangent line and derivative. (Midterm covers everything up to and including this lecture.)
Week 6: (Derivative)
* Multiple choice practice on graphing derivative.
- Oct 13: Lecture 11: Derivative function, some differentiation rules (power, constant multiple, sum, difference), graphing derivative. S2.1 Worksheet
- Oct 11: Lecture 10: Velocity problem, Definition of derivative at a point. S2.0
Week 5: (Continuity and IVT)
* A tricky practice + solution on discontinuous graphs/equations.
* Check these tricky IVT examples.
- Oct 6: Lecture 9: IVT. S1.3
- Oct 4: Lecture 8: Continuous functions. S1.3, Solution to practice problems in notes
Week 4: (Limits)
- Sep 29: Lecture 7: Limits Cont’d (0/0, left/right limit, infinity limits) + Combination of limits: S1.2, Solution to practice problems . Also check these tricky examples.
- Sep 27: Lecture 6: Limits (graph, table of values, direct substitution): S1.1
Week 3: (Inverse function, average/instantaneous rate of change)
Week 2: Chapter 0 of the textbook (Review of function)
Textbook: Sections 0.2 (except the parts about angle between lines), and 0.3.
Check the following links to prepare for week 2:
Solving quadratics using the quadratic formula
Interval Notation
Finding the Domain of a Rational Function
Finding the Domain of a Square Root Function
Week 1:
- Sep 08: Lecture 1: A motivation example of an application of Calculus in finding the instantaneous velocity.